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Main Author: Kurchan, Jorge
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.03186
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author Kurchan, Jorge
author_facet Kurchan, Jorge
contents Glassy dynamics have time-reparametrization `softness': glasses fluctuate, and respond to external perturbations, primarily by changing the pace of their evolution. Remarkably, the same situation also appears in toy models of quantum field theory such as the Sachdev-Ye-Kitaev (SYK) model, where the excitations associated to reparametrizations play the role of an emerging `gravity'. I describe here how these two seemingly unrelated systems share common features, arising from a technically very similar origin. This connection is particularly close between glassy dynamics and supersymmetric variants of the SYK model, which I discuss in some detail. Apart from the curiosity that this correspondence naturally arouses, there is also the hope that developments in each field may be useful for the other.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03186
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Time-reparametrization invariance: from Glasses to toy Black Holes
Kurchan, Jorge
High Energy Physics - Theory
Disordered Systems and Neural Networks
Quantum Physics
Glassy dynamics have time-reparametrization `softness': glasses fluctuate, and respond to external perturbations, primarily by changing the pace of their evolution. Remarkably, the same situation also appears in toy models of quantum field theory such as the Sachdev-Ye-Kitaev (SYK) model, where the excitations associated to reparametrizations play the role of an emerging `gravity'. I describe here how these two seemingly unrelated systems share common features, arising from a technically very similar origin. This connection is particularly close between glassy dynamics and supersymmetric variants of the SYK model, which I discuss in some detail. Apart from the curiosity that this correspondence naturally arouses, there is also the hope that developments in each field may be useful for the other.
title Time-reparametrization invariance: from Glasses to toy Black Holes
topic High Energy Physics - Theory
Disordered Systems and Neural Networks
Quantum Physics
url https://arxiv.org/abs/2401.03186